Modern Combat and WW2/1 are very very different.
Let's take Syria as an example here, in WW2 soldiers when pushing and managing to take out an enemy trench, they wouldn't stop, climb down, climb back up and continue pushing, that's not how it worked, you had to work efficiently and quickly and so jumping over the trench was the most effective thing to continue pushing so in the case you say it's staged, no it's history.
Modern combat, I don't think you see trenches dug out in the middle of the desert by the US, ISIS, Peshmerga, Kurdistan Troops? so in the videos you provided you can clearly see that, 1) there isn't much to jump over or 2) the videos are near buildings / strategical positions for them to keep, now if you think and take into consideration and instead of looking for a specific kind of video of people not jumping take into consideration in the middle-east there is a lot of rubble, small walls, and other objects in the way in general, when a convoy or a patrol is ambushed I've watched countless headcams of soldiers jumping over a small wall to get into cover, in that situation they were being shot at but they still jumped to get into cover.
Every video that you provided is either near building combat or combat in armoured vehicles, there is no point in jumping around in an armoured vehicle because you already have an advantage there, and the building combat what is the point in jumping in a building where you are either A) Pinned or B) Have clear shots towards the enemy's? Soldiers jump over things when it is needed like Bluehawk provided us with picture(s) of a soldier jumping over barbed wire, you never know what the situation may have been and maybe he wouldn't have had enough time to cut the wire, or even had the right tools for the wire, so jumping in that situation would've been the most efficient way, Soldiers don't just jump for the fun of it.